{"id":"https://openalex.org/W2969779876","doi":"https://doi.org/10.3233/jifs-190081","title":"An improved whale optimization algorithm for solving multi-objective design optimization problem of PFHE","display_name":"An improved whale optimization algorithm for solving multi-objective design optimization problem of PFHE","publication_year":2019,"publication_date":"2019-08-21","ids":{"openalex":"https://openalex.org/W2969779876","doi":"https://doi.org/10.3233/jifs-190081","mag":"2969779876"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-190081","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190081","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103147179","display_name":"Muhammad Sulaiman","orcid":"https://orcid.org/0000-0002-4040-6211"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Sulaiman","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098238710","display_name":"Ismat Samiullah","orcid":null},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Ismat Samiullah","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058475904","display_name":"Abdelouahed Hamdi","orcid":"https://orcid.org/0000-0003-1950-8907"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"A. Hamdi","raw_affiliation_strings":["Department of Mathematics, Statistics & Physics, Qatar University, Qatar","Department of Mathematics, Statistics & Physics, Qatar University, Qatar"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics & Physics, Qatar University, Qatar","institution_ids":["https://openalex.org/I60342839"]},{"raw_affiliation_string":"Department of Mathematics, Statistics & Physics, Qatar University, Qatar","institution_ids":["https://openalex.org/I60342839"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100626824","display_name":"Zubair Hussain","orcid":"https://orcid.org/0000-0002-3790-2687"},"institutions":[{"id":"https://openalex.org/I181063083","display_name":"Abdul Wali Khan University Mardan","ror":"https://ror.org/03b9y4e65","country_code":"PK","type":"education","lineage":["https://openalex.org/I181063083"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zubair Hussain","raw_affiliation_strings":["Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan","institution_ids":["https://openalex.org/I181063083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103147179"],"corresponding_institution_ids":["https://openalex.org/I181063083"],"apc_list":null,"apc_paid":null,"fwci":3.1929,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.92731736,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"37","issue":"3","first_page":"3815","last_page":"3828"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10998","display_name":"Heat Transfer and Optimization","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.6876541376113892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6732571125030518},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6607730984687805},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5149046182632446},{"id":"https://openalex.org/keywords/optimization-algorithm","display_name":"Optimization algorithm","score":0.5124598145484924},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49694088101387024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4792342483997345},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.46590667963027954},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4553624987602234},{"id":"https://openalex.org/keywords/whale","display_name":"Whale","score":0.4526011347770691},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4148106575012207},{"id":"https://openalex.org/keywords/meta-optimization","display_name":"Meta-optimization","score":0.4120097756385803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20389044284820557},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09496015310287476}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6876541376113892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6732571125030518},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6607730984687805},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5149046182632446},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.5124598145484924},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49694088101387024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4792342483997345},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.46590667963027954},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4553624987602234},{"id":"https://openalex.org/C2777704720","wikidata":"https://www.wikidata.org/wiki/Q1865281","display_name":"Whale","level":2,"score":0.4526011347770691},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4148106575012207},{"id":"https://openalex.org/C4935549","wikidata":"https://www.wikidata.org/wiki/Q6822261","display_name":"Meta-optimization","level":3,"score":0.4120097756385803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20389044284820557},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09496015310287476},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C505870484","wikidata":"https://www.wikidata.org/wiki/Q180538","display_name":"Fishery","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/jifs-190081","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-190081","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:qspace.qu.edu.qa:10576/15365","is_oa":false,"landing_page_url":"http://hdl.handle.net/10576/15365","pdf_url":null,"source":{"id":"https://openalex.org/S4306400014","display_name":"Qatar University QSpace (Qatar University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60342839","host_organization_name":"Qatar University","host_organization_lineage":["https://openalex.org/I60342839"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W95056644","https://openalex.org/W653600130","https://openalex.org/W1573302072","https://openalex.org/W1596914020","https://openalex.org/W1815941440","https://openalex.org/W1983833629","https://openalex.org/W1987336322","https://openalex.org/W1992208182","https://openalex.org/W1994874182","https://openalex.org/W2015107988","https://openalex.org/W2017639529","https://openalex.org/W2021634709","https://openalex.org/W2039057843","https://openalex.org/W2049360671","https://openalex.org/W2065626809","https://openalex.org/W2070253189","https://openalex.org/W2071454883","https://openalex.org/W2074952496","https://openalex.org/W2076461701","https://openalex.org/W2094444531","https://openalex.org/W2111419912","https://openalex.org/W2126105956","https://openalex.org/W2143381319","https://openalex.org/W2207649084","https://openalex.org/W2290883490","https://openalex.org/W2341822376","https://openalex.org/W2529064133","https://openalex.org/W2745298772","https://openalex.org/W4244633107","https://openalex.org/W4285719527","https://openalex.org/W6668093023"],"related_works":["https://openalex.org/W1972947796","https://openalex.org/W2108227495","https://openalex.org/W2009473289","https://openalex.org/W2531730940","https://openalex.org/W2165354458","https://openalex.org/W2356755049","https://openalex.org/W2360191612","https://openalex.org/W3196888456","https://openalex.org/W2368772651","https://openalex.org/W4312106385"],"abstract_inverted_index":{"In":[0,69,83],"this":[1],"paper,":[2],"we":[3,39,71,85],"have":[4,40,57,72,86],"used":[5],"a":[6,63,100],"novel":[7],"initialization":[8],"strategy":[9],"to":[10,43,171,178,186,197],"improve":[11],"Whale":[12,22],"optimization":[13,48],"algorithm":[14,32,121,167],"(WOA),":[15],"which":[16],"is":[17,107,141,184,195],"named":[18],"as":[19,65,67],"The":[20,103,120,137,165],"Improved":[21],"Optimization":[23],"Algorithm":[24,145,148],"(IWOA).":[25],"To":[26],"evaluate":[27],"the":[28,31,59,74,79,88,94,110,116,126,163,179,190],"capability":[29],"of":[30,35,50,81,96,105,134,139],"in":[33,112,124,132],"terms":[34],"efficiency":[36],"and":[37,77,91,99,115,150,183,203],"performance,":[38],"implemented":[41],"it":[42],"solve":[44],"thermal":[45],"economic":[46],"multi-objective":[47],"problems":[49,199],"Plate":[51],"Fin":[52],"Heat":[53],"Exchanger":[54],"(PFHE).":[55],"We":[56],"investigated":[58],"design":[60,97,198],"problem":[61],"with":[62,93,143,200],"single-objective":[64,70],"well":[66],"multi-objectives.":[68],"minimized":[73],"total":[75,89],"cost":[76,90],"maximized":[78],"effectiveness":[80],"PFHE.":[82],"multi-objective,":[84],"combined":[87],"effectiveness,":[92],"help":[95],"weights":[98],"penalty":[101],"parameter.":[102],"sensitivity":[104],"IWOA":[106,140,159,194],"checked":[108],"towards":[109],"change":[111],"population":[113],"sizes":[114],"target":[117],"prey":[118],"numbers.":[119],"was":[122,130],"stable":[123],"calculating":[125],"best":[127],"values":[128],"but":[129],"variative":[131],"number":[133],"functions":[135],"evaluations.":[136],"performance":[138],"compared":[142],"Genetic":[144],"(GA),":[146],"Elitist-Jaya":[147],"(EJA),":[149],"modified-TLBO":[151],"(Teaching":[152],"Learning":[153],"Based":[154],"Optimization).":[155],"Which":[156],"show":[157],"that":[158,193],"has":[160,168],"significantly":[161],"improved":[162],"results.":[164],"suggested":[166,192],"less":[169],"parameters":[170],"be":[172],"set":[173],"by":[174],"designers.":[175],"It":[176],"converges":[177],"required":[180],"results":[181],"quickly":[182],"easy":[185],"implement.":[187],"Similarly,":[188],"all":[189],"experiments":[191],"applicable":[196],"complex":[201],"objectives":[202],"highly":[204],"non-linear":[205],"constraints.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}